Suppression of one-dimensional weak localization by band asymmetry

Kartikeya Arora, Rajeev Singh, Pavan Hosur

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1 Scopus citations


We investigate disorder-induced localization in metals that break time-reversal and inversion symmetries through their energy dispersion, ϵk≠ϵ-k, but lack Berry phases. In the perturbative regime of disorder, we show that weak localization is suppressed due to a mismatch of the Fermi velocities of left and right movers. To substantiate this analytical result, we perform quench numerics on chains shorter than the Anderson localization length ζ - the latter computed and verified to be finite using the recursive Green's function method - and find a sharp rise in the saturation value of the participation ratio due to band asymmetry, indicating a tendency to delocalize. Interestingly, for weak disorder strength η, we see a better fit to the scaling behavior ζ∝1/η2 for asymmetric bands than conventional symmetric ones.

Original languageEnglish
Article number064211
JournalPhysical Review B
Issue number6
StatePublished - 1 Aug 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2023 American Physical Society.


P.H. was supported by the Department of Energy under Grant No. DE-SC0022264. P.H. would like to thank P. Ghaemi, J. Maciejko, and H. Pal for useful discussions. We acknowledge the National Supercomputing Mission (NSM) for providing computing resources of ‘‘PARAM Shivay” at the Indian Institute of Technology (BHU), Varanasi, which is implemented by C-DAC and supported by the Ministry of Electronics and Information Technology (MeitY) and Department of Science and Technology (DST), Government of India. Some of the calculations have been performed using the Quspin library .

FundersFunder number
U.S. Department of EnergyDE-SC0022264
Department of Science and Technology, Ministry of Science and Technology, India
Banaras Hindu University
Indian Institute of Technology Delhi
Ministry of Electronics and Information technology


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